Question 1045515: ABCD is a rectangle such that AD = 2AB and the diagonal AC = root5 d the the perimeter of rectangle ABCD=? Answer by ikleyn(52786) (Show Source):
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ABCD is a rectangle such that AD = 2AB and the diagonal AC = root5 d the the perimeter of rectangle ABCD=?
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We know AB=CD.
AC=BD=.
Perimeter=.
Let =. Then =.
You have right angle triangle
+ = ,
=,
x = 1.
Then AB = 1, AD = 2, and the perimeter = 1 + 2 + 1 + 2 = 6 units.
Answer. The perimeter is 6 units.